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Finding the Fourth Proportional to 208,414.72, 287,611.92 and 112,924

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Solution

The fourth proportional to 208,414.72, 287,611.92 and 112,924 is: 155,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,414.72 : 287,611.92 = 112,924 : x
  2. Step 2: Convert to fraction form
    208,414.72/287,611.92 = 112,924/x
  3. Step 3: Cross multiply
    208,414.72x = 287,611.92 × 112,924
  4. Step 4: Simplify right side
    208,414.72x = 32,478,288,454.08
  5. Step 5: Solve for x
    x = 32,478,288,454.08/208,414.72
  6. Step 6: Final answer
    x = 155,834.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.